Matters of “truth” are barking up the wrong tree, since truth is mostly a vague philosophical notion.
The problem here is the lack of accuracy and evidence, the deliberate deception and obfuscation perpetrated by these people. Their job is to relate the facts - it is the job of those who think critically to evaluate their degree of truth, as well as accuracy, transparency, relevance, etc.
An evidence-based society does not depend upon “authorities” being honest (although that would be preferable), it depends upon the public being more skeptical and critical of what they are told.